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 Aug 10 awarded Yearling Nov 14 awarded Good Question Jun 4 awarded Yearling Jan 23 awarded Commentator Jan 23 comment Splitting a sandwich and not feeling deceived Cutting in 3 one time does not work, because the issue is that they don't trust each other. It is in the first guy's best interest to cut properly, but if he is a lousy cutter there is no mechanism by which the others can correct it. There is also a clear advantage in being able to chose first. If A cuts, which of B or C will chose first? Why? And if A isn't good at cutting, he will get less which is unfair. My solution is not perfect but it gives all players a similar amount of control and avoid creating useless crumbs (cf sol 1). Jan 18 comment Splitting a sandwich and not feeling deceived You are outside the scope of the question: the original problem was sharing a cake betwen 2 people who want their fair share but don't trust the other. Expanding it to 3 people, we have 3 people who want their fair share. The failure can only occur if C does not actually wants his fair share, in which case most answers above fail completely, whereas my solution limits the failure to a single 1/9th piece. B gets less, but only if C agrees to take even less than B, which is outside the scope of the question asked. Jan 18 comment Splitting a sandwich and not feeling deceived Read again and that time do try to understand the solution. A and B cuts the cake into a large one and 2 tiny pieces. Now we have 2 big pieces and a bunch of crumbs. What you didn't understand is that C cuts EACH piece in 3 EQUAL pieces. Nothing A and B can do about it. After C, you have 6 equal pieces and a bunch of crumbs. If C cuts properly, he will get exactly 1 third of the cake. Jan 15 answered Splitting a sandwich and not feeling deceived Nov 18 comment How to convince a layman that the $\pi = 4$ proof is wrong? That's probably because I read your your original comment to my 2 years old answer as a critique rather than as a genuine question. Nov 18 comment How to convince a layman that the $\pi = 4$ proof is wrong? @JesseMadnick Usually, when the only definition you know does not match the context, the logical next step is to look up the word in a dictionary. According to the American Heritage dictionary, one of the definitions for the word "surface" is: [Mathematics] "A portion of space having length and breadth but no thickness." Does that help? Sep 6 awarded Famous Question Jun 11 awarded Critic Jun 4 awarded Yearling Dec 30 comment My brothers share from income. @Aman You are correct, if the partner is the one who collects the money, your brother should get \$600 based on your agreement. Dec 30 answered My brothers share from income. Sep 24 awarded Nice Question Sep 11 awarded Notable Question Aug 19 awarded Good Answer Jun 4 awarded Yearling Apr 6 awarded Popular Question